Analogously, for a wIFS \(\lbrace  s_1, \dots , s_k \rbrace \)  acting on \(X\) , a compact set \(A\in K(X)\)  satisfying \(\bigcup _{i=1}^k s_i(A)=A\)  is called a weak IFS attractor for the system \(\lbrace s_1,\dots ,s_k\rbrace \) . It is shown in [1]} that for every weak iterated function system there exists a weak IFS attractor provided that \(X\)  is a compact space.
